Numerade

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The three types of protein fibers in connective tissue are deep fascia, fibrocytes, and matrix. tendons, ligaments, and elastic ligaments. collagen, reticular, and elastic. cartilage, bone, and collagen. loose, dense, and irregular.

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In the article "De Dogs Know CalculusT" the author Timothy Poneingi explaised low he noticed that when he threw a ball diagonally into Labe Michigan along a stright shorelise, his dog Dris seemed to pick the optinal point in which to enter the water so as to minimize his time to reach the ball, as in the figure. He timed the dog and found Elvis could run at 6.4(m)/(h) on the sund and swim it 0.92(m)/(s). If Tim stood at point A and threw the hall to a point B in the water, which was a perpendicular Uistunce 10 m from point C on the shore, where C is a distance 15 m from where he stood, at what distance x from point C did Evis enter the water if the dog effectively minimized lisis ime to reach the bull $ (Une decimal notation. Give your answer to two decimal places.) Eivis estered waller a distunce of ◻ from point C.

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Two events, A and B, have space time coordinates $(x_1, y_1, z_1, t_1)$ and $(x_2, y_2, z_2, t_2)$ in the frame S and coordinates $(x'_1, y'_1, z'_1, t'_1)$ and $(x'_2, y'_2, z'_2, t'_2)$ in the frame S'. S moves at a constant speed $v$ relative to S'. Suppose that A and B are simultaneous in S'. The fact that "simultaneity is relative" means Select one: a. $t_1 \neq t_2$ b. $t'_1 \neq t'_2$ c. $t'_1 \neq t_1$ d. $t'_2 \neq t_2$

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Let $U_m$ represent the utility of a particular transportation mode. $U_m = a_m - 0.009 * Cost - 0.057 * IVTT - 0.061 * OVTT$ Passengers have the option to travel by helicopter or by hovercraft. The relevant modal attribute data is given below. Table 1, Modal Attribute Data | m | Mode | $a_m$ | Cost ($) | IVTT (min) | OVTT (min) | |---|---|---|---|---|---| | 1 | Helicopter | 0 | 85.40 | 5.35 | 33 | | 2 | Hovercraft | 0.40 | 88.16 | 15.7 | 34 | Note: IVTT=in-vehicle travel time; OVTT=out-of-vehicle travel time h) What is the utility of the helicopter mode? (1.25 pts) i) What is the utility of hovercraft mode? (1.25 pts) j) What share of passengers in percent will travel by the helicopter mode? (2.5 pts) k) What share of passengers will travel by the hovercraft mode? (2.5 pts)

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A silver mica capacitor is constructed by plating the conductive silver directly onto the mica dielectric (with κ = 6.0 and thickness d = 0.01mm). This forms a dielectric-filled parallelplate capacitor. Suppose you charge this capacitor to 100.0V. How much plate area is required to store 2.0µJ of energy?

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5. Suppose a firm experiences constant (long run) MC and AC over all output levels (ceteris parabus). Its production function could be characterized by: a. $Q(L,K) = 100L^{1/2}K^{1/2}$ b. $Q(L,K) = 20LK$ c. $Q(L,K) = 400L^{3/4}K^{1/2}$ d. $Q(L,K) = 100L^{2/5}K^{2/5}$ e. All of the above.

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[3] Prove that: Let $ m-1<\alpha<m $ and $ f $ be continuously diff. Function , then there exists $ \xi \in(a, b) $ such that \[ \frac{f(b)-\sum_{k=0}^{m-1} \frac{(b-a)^{k}}{k!} f^{(k)}(a)}{(b-a)^{\alpha}}=\frac{{ }^{c} D_{x}^{\alpha} f(\xi)}{\Gamma(\alpha+1)} \]

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Identify THREE (3) functions of Money. Explain the THREE (3) types of demand for money.

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P S a b c d f Q D

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f(x) = 4x^2 - 6, g(x) = -x^2 - 3x + 4 (a) Find (f + g)(x).

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evelyn g.